Ricci flow on cone surfaces (Q1656530)

From MaRDI portal





scientific article; zbMATH DE number 6916280
Language Label Description Also known as
English
Ricci flow on cone surfaces
scientific article; zbMATH DE number 6916280

    Statements

    Ricci flow on cone surfaces (English)
    0 references
    0 references
    10 August 2018
    0 references
    The paper applies the Ricci flow technique to uniformize surfaces with cone-like singularities. Precisely, the author classifies all gradient Ricci solitons on surfaces (possibly with cone-like singularities). He also shows that closed cone surfaces with cone angles less or equal to \(\pi\) converge, up to rescaling, to closed soliton metrics under the Ricci flow.
    0 references
    0 references
    Ricci flow
    0 references
    Ricci solitons
    0 references
    conical singularities
    0 references
    uniformization theorem
    0 references

    Identifiers